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Finding the Fourth Proportional to 612.89, 845.74 and 376.77

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Solution

The fourth proportional to 612.89, 845.74 and 376.77 is: 519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.89 : 845.74 = 376.77 : x
  2. Step 2: Convert to fraction form
    612.89/845.74 = 376.77/x
  3. Step 3: Cross multiply
    612.89x = 845.74 × 376.77
  4. Step 4: Simplify right side
    612.89x = 318,649.46
  5. Step 5: Solve for x
    x = 318,649.46/612.89
  6. Step 6: Final answer
    x = 519.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.